my grandmother needs to find the best company to deliver a package. Company A charges a fee of $14 plus $7 per pound. Company B charges a fee of $15 plus $6 per pound. At what weight will the companies charge the same amount and what is the equivalent cost?

Answer 1

To find the weight at which the companies charge the same amount, we can set up an equation:

Company A: $14 + $7x (x being the weight in pounds)
Company B: $15 + $6x

Setting them equal to each other:

$14 + $7x = $15 + $6x
$14 + $7x - $6x = $15 + $6x - $6x
$14 + x = $15
x = $1

Therefore, at a weight of 1 pound, both companies will charge the same amount.

To find the equivalent cost, we can substitute this weight back into either equation:

Company A: $14 + $7(1) = $14 + $7 = $21
Company B: $15 + $6(1) = $15 + $6 = $21

Therefore, both companies will charge $21 for a 1-pound package.